Alternative formulations of the thermodynamics of scalar-tensor theories
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916412646227968 |
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| author | Gallerani, Luca Miranda, Marcello Giusti, Andrea Mentrelli, Andrea |
| author_facet | Gallerani, Luca Miranda, Marcello Giusti, Andrea Mentrelli, Andrea |
| contents | We explore alternative formulations of the analogy between viable Horndeski gravity and Eckart's first-order thermodynamics. We single out a class of identifications for the effective stress-energy tensor of the scalar field fluid that, upon performing the imperfect fluid decomposition, yields constitutive relations that can be mapped onto Eckart's theory. We then investigate how different couplings to Einstein's gravity, at the level of the field equations, can affect the thermodynamic formalism overall. Last, we specialize the discussion to the case of ``traditional'' scalar-tensor theories and identify a specific choice of the coupling function that leads to a significant simplification of the formalism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_20865 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Alternative formulations of the thermodynamics of scalar-tensor theories Gallerani, Luca Miranda, Marcello Giusti, Andrea Mentrelli, Andrea General Relativity and Quantum Cosmology Mathematical Physics We explore alternative formulations of the analogy between viable Horndeski gravity and Eckart's first-order thermodynamics. We single out a class of identifications for the effective stress-energy tensor of the scalar field fluid that, upon performing the imperfect fluid decomposition, yields constitutive relations that can be mapped onto Eckart's theory. We then investigate how different couplings to Einstein's gravity, at the level of the field equations, can affect the thermodynamic formalism overall. Last, we specialize the discussion to the case of ``traditional'' scalar-tensor theories and identify a specific choice of the coupling function that leads to a significant simplification of the formalism. |
| title | Alternative formulations of the thermodynamics of scalar-tensor theories |
| topic | General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2405.20865 |